Name _____________________________________________________ Hour ______________
A projectile is _____________________________________________________________
Ex: _________________________________________________________________
This means shooting or throwing something in the x direction and then it falls in the y direction.
Will a ball dropped and one shot from
same height land at the same time?
DEMO:
Vx = ________________________________
Vy = ______________________________
Viy = ______________ m/s!
The horizontal speed is _______________________ because: _____________________________________
The acceleration (a) becomes ay since _________________________________________
EQUATIONS:
Horizontal (only x)
ay = ______
Vertical (only y)
Vx =
Δy =
ΔX and Δy are NO LONGER INTERCHANGEABLE!
Ex. A cannon ball is shot off a cliff that is 9 meters high. How far away from the base of a cliff will
the cannon ball land if it is shot horizontally at 23 m/s?
Horizontal
Vertical
G:
U:
E:
Remember, you cannot interchange Δy and Δx when it is in 2 dimensions!
Need Δt, so this is a 2-step problem…
Sketch:
Name _____________________________________________________ Hour ______________
Problems:
1. A cannon is fired horizontally from the top of the cliff. The shell leaves the cannon barrel
with a horizontal velocity of 125 m/sec and hits the ground 6 seconds later.
a. What is the height of the cliff? (-176.4 m)
b. How far away from the bottom of the cliff (∆x) will the shell land? (750 m)
2. You are playing darts and throw it with a horizontal velocity of 11.7 m/s. If the dart hits
the board 0.22 m below the height from which it was thrown (that is ∆y), how far away
from the board were you standing? (2.5 m)
3. You shoot a marble off a 1.1 m tall table. If the marble lands 2.4 m from the base of the
table, calculate the horizontal velocity (Vx) of the marble in miles per hour. (11.4 mph)
4.
A pilot needs to drop a box of supplies to shipwrecked victims in the ocean below. If he
is traveling with a horizontal velocity of 125 km/hour at a height of 1001 meters, how far
(Δx) before he is over the island should he drop the box of supplies? Neglect air
resistance of course. Make sure to convert your speed.